diff --git a/aiomysql/cursors.py b/aiomysql/cursors.py
index 35d29d72..164fef95 100644
--- a/aiomysql/cursors.py
+++ b/aiomysql/cursors.py
@@ -598,7 +598,8 @@ class SSCursor(Cursor):
 
     async def close(self):
         conn = self._connection
-        if conn is None:
+        if conn is None or conn.closed:
+            self._connection = None
             return
 
         if self._result is not None and self._result is conn._result:
diff --git a/tests/test_sscursor.py b/tests/test_sscursor.py
index de9da609..36f2a389 100644
--- a/tests/test_sscursor.py
+++ b/tests/test_sscursor.py
@@ -65,6 +65,15 @@ async def test_ssursor(connection):
     await cursor.close()
 
 
+@pytest.mark.run_loop
+async def test_ssursor_conn_closed(connection):
+    conn = connection
+    cursor = await conn.cursor(SSCursor)
+
+    conn.close()
+    await cursor.close()
+
+
 @pytest.mark.run_loop
 async def test_sscursor_fetchall(connection):
     conn = connection